UNCERTAIN DYNAMICAL-SYSTEMS - LYAPUNOV MIN-MAX APPROACH

被引:350
作者
GUTMAN, S
机构
[1] Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa
关键词
D O I
10.1109/TAC.1979.1102073
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A class of dynamical systems in the presence of uncertainty is formulated by contingent differential equations. Asymptotic stability (in the sense of Lyapunov) is then developed via generalized dynamical systems (GDS's). The uncertainty is deterministic; the only assumption is that its value belongs to a known compact set Applications to variable structure and model reference control systems are discussed. Copyright © 1979 by The Institute of Electrical and Electronics Engineers, Inc.
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收藏
页码:437 / 443
页数:7
相关论文
共 21 条
[11]  
LEITMANN G, 1977, NEW TRENDS DYNAMIC S
[12]   DISCUSSION ON 2 THEOREMS ON SECOND METHOD [J].
MONOPOLI, RV ;
GRAYSON, LP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (01) :140-&
[13]  
MONOPOLI RV, 1966, CR654 NASA REP
[14]   ON GENERALIZED DYNAMICAL SYSTEMS DEFINED BY CONTINGENT EQUATIONS [J].
ROXIN, E .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1965, 1 (02) :188-&
[15]   STABILITY IN GENERAL CONTROL SYSTEMS [J].
ROXIN, E .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1965, 1 (02) :115-&
[16]  
ROXIN E, 1966, REND CIRC MAT PALE 2, V15, P193
[17]  
ROXIN E, 1963, 2ND INT C IFAC BAS
[18]  
Taran V. A., 1964, AUTOMAT REM CONTR, V25, P140
[19]   VARIABLE STRUCTURE SYSTEMS WITH SLIDING MODES [J].
UTKIN, VI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (02) :212-222
[20]  
UTKIN VI, 1974, SLIDING REGIMES THEI